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5.
(a) The capacitance of a parallelplate capacitor is given by
C
=
ε
0
A/d
,where
A
is the area of each
plate and
d
is the plate separation. Since the plates are circular, the plate area is
A
=
πR
2
,where
R
is the radius of a plate. Thus,
C
=
ε
0
πR
2
d
=
(8
.
85
×
10
−
12
F
/
m)
π
(8
.
2
×
10
−
2
m)
2
1
.
3
×
10
−
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 Fall '08
 SPRUNGER
 Physics, Capacitance

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